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Finding the Fourth Proportional to 152,091.24, 209,892.78 and 85,023.24

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Solution

The fourth proportional to 152,091.24, 209,892.78 and 85,023.24 is: 117,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,091.24 : 209,892.78 = 85,023.24 : x
  2. Step 2: Convert to fraction form
    152,091.24/209,892.78 = 85,023.24/x
  3. Step 3: Cross multiply
    152,091.24x = 209,892.78 × 85,023.24
  4. Step 4: Simplify right side
    152,091.24x = 17,845,764,208.21
  5. Step 5: Solve for x
    x = 17,845,764,208.21/152,091.24
  6. Step 6: Final answer
    x = 117,335.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.